RDP and MCMC posterior distributions for Berkeley 32. Upper panel: observed surface density (ρ) as a function of radial distance from the cluster center (black points with Poisson error bars). The solid red curve is the best-fitting I. King (1962) model, with the shaded region indicating the 1σ confidence interval. The horizontal blue dashed line marks the background density level (ρ_bg). Lower panels: corner plot of the posterior distributions for the fitted King model parameters (ρ₀, r_c, r_t, ρ_bg), with median values (solid red lines) and 1σ boundaries (dashed lines).